Question 1 (a) Consider the functions f(x) = 100 - r and F() = f (t) dt. -2 i. Write a simplified form of F(x) = / f(t) at. 2 ii. Verify that Fi(x) = f(x) and F(-2) =0. (b) Now consider the function g(x) = v100 - 24. Unlike the previous function, there is no closed- form "nice" way to write the anti-derivative G(x) where G'(x) = g(x). Instead, use the Fundamental Theorem of Calculus Part II to find an integral-defined function G(x) such that G'(x) = g(x) and G(-2) = 0